All possible combinations across arrays in nodejs - arrays

Question

Lets say I have three arrays:
var arr1 = ['red', 'orange', 'yellow',];
var arr2 = ['car', 'bus'];
var arr3 = ['china'];
How to get the following combinations:
1. Order matters,
2. Each result(can be a array) should contain 0..1 element of each arr
3. Element of arr1,arr2,arr3 can appear 0..1 times ：
red,car,china
red,china,car
car,red,china
car,china,red
china,car,red,
china,red,car
red,bus,china
red,china,bus
bus,red,china
bus,china,red
china,bus,red,
china,red,bus
orange,car,china
orange,china,bus
bus,orange,china
bus,china,orange
china,bus,orange,
china,orange,bus
orange,bus,china
orange,china,bus
bus,orange,china
bus,china,orange
china,bus,orange,
yellow,car,china
yellow,china,car
car,yellow,china
car,china,yellow
china,car,yellow,
china,yellow,car
yellow,bus,china
yellow,china,bus
bus,yellow,china
bus,china,yellow
china,bus,yellow,
china,yellow,bus
red,car
car,red
red,bus
bus,red
orange,car
car,orange,
orange,bus
bus,orange,
yellow,car
car,yellow,
yellow,bus
bus,yellow,
red,china
china,red,
orange,china
china,orange,
yellow,china
china,yellow,
car,china
china,car,
bus,china
china,bus,
red,
orange,
yellow,
car,
bus,
china,
What I could not figure out is how to control the appear times in the element of each arr, my code is as follows:
function get_titles_appearances(titles_columns) {
titles_columns = titles_columns || [];
var n = titles_columns.length;
if (n === 0) { return [] }
if (n === 1) { return titles_columns[0] }
var save = function () {
var m = groups.length, c = [];
while (m--) { c[m] = groups[m] }
rtn.push(c);
}
var i = 0, len = 0, counter = [], groups = [], rtn = [];
for (; i < n; i++) {
counter[i] = 0;
groups[i] = titles_columns[i][0];
}
save();
while (true) {
i = n - 1, len = titles_columns[i].length;
if (++counter[i] >= len) {
while (counter[i] >= len) {
if (i === 0) { return rtn }
groups[i] = titles_columns[i][0];
counter[i--] = 0;
counter[i]++;
len = titles_columns[i].length;
}
}
groups[i] = titles_columns[i][counter[i]];
save();
}
}
_.forEach(get_titles_appearances(titles_columns_config_default), function (value) {
// titles_appearances.push( _.join(value, '')+"':'"+_.join(value, ','))
titles_appearances = titles_appearances+"{"+ _.join(value, '')+":"+_.join(value, ',')+"},"
})
titles_columns_config_default refer to [arr1,arr2,arr3]